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Large Deviations in Physics

The Legacy of the Law of Large Numbers

Angelo Vulpiani, Fabio Cecconi, Massimo Cencini, Andrea Puglisi, Davide Vergni (Herausgeber)

Buch | Softcover

XIV, 314 Seiten

2014 | 2014
Springer Berlin (Verlag)
978-3-642-54250-3 (ISBN)

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This book reviews the basic ideas of the Law of Large Numbers with its consequences to the deterministic world and the issue of ergodicity. Applications of Large Deviations and their outcomes to Physics are surveyed. The book covers topics encompassing ergodicity and its breaking and the modern applications of Large deviations to equilibrium and non-equilibrium statistical physics, disordered and chaotic systems, and turbulence.

Ergodicity - A Basic Concept.- Large Deviations in Statistical Mechanics: Rigorous and Non-Rigorous.- Large Deviation Techniques for Long-Range Interactions.- Fluctuation-Dissipation and Fluctuation Relations: From Equilibrium to Nonequilibrium Phenomena and Back.- Stochastic Fluctuations in Deterministic Systems.- Large Deviation and Disordered Systems.- Large Deviations in Turbulence.- Ergodicity Breaking Challenges Monte Carlo Methods.- Anomalous Diffusion: Deterministic and Stochastic Perspectives.- The Use of Fluctuation Relations for the Analysis of Free-Energy Landscapes.

Erscheint lt. Verlag	6.6.2014
Reihe/Serie	Lecture Notes in Physics
Zusatzinfo	XIV, 314 p. 58 illus., 18 illus. in color.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	504 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	disordered and chaotic system • equilibrium and non-equilibrium statistical physic • equilibrium and non-equilibrium statistical physics • ergodicity breaking • fluctuation relations • large deviations • law of large numbers • non-equilibrium statstical physics • stochastic fluctuations • Turbulence
ISBN-10	3-642-54250-6 / 3642542506
ISBN-13	978-3-642-54250-3 / 9783642542503
Zustand	Neuware